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Finding the Fourth Proportional to 9,713.28, 13,409.28 and 5,735.76

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Solution

The fourth proportional to 9,713.28, 13,409.28 and 5,735.76 is: 7,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.28 : 13,409.28 = 5,735.76 : x
  2. Step 2: Convert to fraction form
    9,713.28/13,409.28 = 5,735.76/x
  3. Step 3: Cross multiply
    9,713.28x = 13,409.28 × 5,735.76
  4. Step 4: Simplify right side
    9,713.28x = 76,912,411.85
  5. Step 5: Solve for x
    x = 76,912,411.85/9,713.28
  6. Step 6: Final answer
    x = 7,918.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.